What is the Greatest Common Factor of 37884 and 37899?

Greatest common factor (GCF) of 37884 and 37899 is 3.

GCF(37884,37899) = 3

We will now calculate the prime factors of 37884 and 37899, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37884 and 37899.

How to find the GCF of 37884 and 37899?

We will first find the prime factorization of 37884 and 37899. After we will calculate the factors of 37884 and 37899 and find the biggest common factor number .

Step-1: Prime Factorization of 37884

Prime factors of 37884 are 2, 3, 7, 11, 41. Prime factorization of 37884 in exponential form is:

37884 = 2² × 3¹ × 7¹ × 11¹ × 41¹

Step-2: Prime Factorization of 37899

Prime factors of 37899 are 3, 4211. Prime factorization of 37899 in exponential form is:

37899 = 3² × 4211¹

Step-3: Factors of 37884

List of positive integer factors of 37884 that divides 37884 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 41, 42, 44, 66, 77, 82, 84, 123, 132, 154, 164, 231, 246, 287, 308, 451, 462, 492, 574, 861, 902, 924, 1148, 1353, 1722, 1804, 2706, 3157, 3444, 5412, 6314, 9471, 12628, 18942

Step-4: Factors of 37899

List of positive integer factors of 37899 that divides 37884 without a remainder.

1, 3, 9, 4211, 12633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37884 and 37899. The biggest common factor number is the GCF number.
So the greatest common factor 37884 and 37899 is 3.

Also check out the Least Common Multiple of 37884 and 37899